Question

The probability of a certain brand of battery going dead within 15 hours is. Noah has atoy that requires 4 of these batteries. He wants to estimate the probability that at least onebattery will die before 15 hours are up.1.Noah will simulate the situation by putting marbles in a bag. Drawing one marblefrom the bag will represent the outcome of one of the batteries in the toy after 15hours. Red marbles represent a battery that dies before 15 hours are up, and greenmarbles represent a battery that lasts longer.How many marbles of each color should he put in the bag? Explain your reasoning.

Answer 1

Question:

The probability of a certain brand of battery going dead within 15 hours is 1/3. Noah has a toy that requires 4 of these batteries. He wants to estimate the probability that at least one battery will die before 15 hours are up.1.Noah will simulate the situation by putting marbles in a bag. Drawing one marble from the bag will represent the outcome of one of the batteries in the toy after 15 hours. Red marbles represent a battery that dies before 15 hours are up, and green marbles represent a battery that lasts longer.How many marbles of each color should he put in the bag? Explain your reasoning.

Answer:

The number of marbles of each color that should be present in the bag is;

1 red marble and 2 green marbles

Step-by-step explanation:

Here, we note that the probability of a battery going dead = 1/3 and the

Therefore if the red marbles represent that a battery dies before 15 hours then the probability of picking the red marble should be 1/3. That is if there is only one red marble in the bag, the probability of picking the red will be 1/3 when there are other 2 green batteries in the bag

That is there should be 1 red marble and 2 green marble in the bag.